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Finding the Fourth Proportional to 102,878.32, 154,321.92 and 50,332

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Solution

The fourth proportional to 102,878.32, 154,321.92 and 50,332 is: 75,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,878.32 : 154,321.92 = 50,332 : x
  2. Step 2: Convert to fraction form
    102,878.32/154,321.92 = 50,332/x
  3. Step 3: Cross multiply
    102,878.32x = 154,321.92 × 50,332
  4. Step 4: Simplify right side
    102,878.32x = 7,767,330,877.44
  5. Step 5: Solve for x
    x = 7,767,330,877.44/102,878.32
  6. Step 6: Final answer
    x = 75,500.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.